JEE Main & Advanced Mathematics Mathematical Logic and Boolean Algebra Question Bank Mock Test - Mathematical Reasoning

  • question_answer
    The contrapositive of the inverse of \[p\Rightarrow \,\tilde{\ }q\]is

    A) \[\tilde{\ }q\Rightarrow p\]

    B) \[p\Rightarrow q\]

    C) \[\tilde{\ }q\Rightarrow \,\tilde{\ }p\]        

    D) \[\tilde{\ }p\Rightarrow \,\tilde{\ }q\]

    Correct Answer: A

    Solution :

    [a] The inverse of \[p\Rightarrow \,\sim q\] is \[\sim p\Rightarrow q\] The contrapositive of \[\sim p\Rightarrow q\] is \[\sim q\Rightarrow p.\] [\[\therefore \]Contrapositive of \[p\Rightarrow q\] is\[\sim q\Rightarrow p.\]]

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